Wednesday, November 29, 2017 - 16:00 in V3-201
On a doubly nonlinear PDE with stochastic pertubation
A talk in the Bielefeld Stochastic Afternoon series by
Niklas Sapountzoglou from Universität Duisburg-Essen
| Abstract: |
We consider a doubly nonlinear evolution equation with multiplicative noise and show existence and uniqueness of a strong solution. Using a semi-implicit time discretizaion we get approximate solutions. The theorems of Prokhorov and Skorokhod will give us a.s. convergence in a new probability space, which allows to show the existence of martingale solutions. By pathwise uniqueness we are able to show existence and uniqueness of strong solutions.
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